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Some problems in differential geometry and topology

S K Donaldson

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OPEN PROBLEM

This does not attempt to be a systematic overview or to present a comprehensive list of problems. We outline some questions in three different areas which seem interesting to the author. Experts will learn little that is new; our goal is to give some picture of the fields for non-specialists.


PACS

02.40.-k Geometry, differential geometry, and topology

MSC

57R17 Symplectic and contact topology

53C21 Methods of Riemannian geometry, including PDE methods; curvature restrictions (See also 58J60)

53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)

53C29 Issues of holonomy

53C55 Hermitian and Kählerian manifolds (See also 32Cxx)

57Mxx Low-dimensional topology

Subjects

Mathematical physics

Dates

Issue 9 (September 2008)

Received 13 May 2008, in final form 5 June 2008

Published 11 July 2008



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